GCD of 526, 563, 49, 749 Calculator

Given Input numbers are 526, 563, 49, 749

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 526, 563, 49, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 526, 563, 49, 749 is 1.

Therefore, GCD of numbers 526, 563, 49, 749 is 1

Given Input Data is 526, 563, 49, 749

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 526 is 2 x 263

Prime Factorization of 563 is 563

Prime Factorization of 49 is 7 x 7

Prime Factorization of 749 is 7 x 107

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(526, 563) = 296138

GCD(526, 563) = ( 526 x 563 ) / 296138

GCD(526, 563) = 296138 / 296138

GCD(526, 563) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 526, 563, 49, 749 is 1

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1. What is the GCD of 526, 563, 49, 749?

GCD of 526, 563, 49, 749 is 1

2. Where do I get the detailed procedure to find GCD of 526, 563, 49, 749?

You can find a detailed procedure to find GCD of 526, 563, 49, 749 on our page.

3. How to find GCD of 526, 563, 49, 749 on a calculator?

You can find the GCD of 526, 563, 49, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.